Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186z |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
284544 |
Modular degree for the optimal curve |
Δ |
-16324063551488 = -1 · 213 · 74 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-110415,14077141] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:4274:1] |
Generators of the group modulo torsion |
j |
-1230333411315962041/134909616128 |
j-invariant |
L |
3.9318222477749 |
L(r)(E,1)/r! |
Ω |
0.66801417019514 |
Real period |
R |
0.037729721751901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186d1 |
Quadratic twists by: -11 |